Magma V2.19-8 Wed Aug 21 2013 01:06:32 on localhost [Seed = 104865475] Type ? for help. Type -D to quit. Loading file "L14n32733__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n32733 geometric_solution 12.58858027 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 2 0132 0132 0132 1230 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 -1 1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598597381243 1.099529916620 0 4 4 5 0132 0132 1302 0132 1 1 1 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 0 0 -3 1 -4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293364714551 0.732516352228 0 0 6 5 3012 0132 0132 3201 1 1 1 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1 0 0 -1 0 -3 0 3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292975344315 0.802523802420 7 8 9 0 0132 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.417844748409 0.593101350633 1 1 10 11 2031 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.528839663616 1.176462723034 7 2 1 12 2103 2310 0132 0132 1 1 1 1 0 -1 0 1 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 0 0 -1 1 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.858788936003 0.993706701016 11 11 8 2 1230 2031 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555232619929 0.713500486080 3 12 5 8 0132 2031 2103 2310 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.423502819169 1.117742620047 7 3 10 6 3201 0132 2310 0132 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.889056670298 1.225829714651 10 11 12 3 2031 2310 3012 0132 1 1 1 1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 -2 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548584855412 0.666381818531 12 8 9 4 3012 3201 1302 0132 1 1 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.484097109469 0.362851528641 6 6 4 9 1302 3012 0132 3201 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.555232619929 0.713500486080 7 9 5 10 1302 1230 0132 1230 1 1 1 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468483248223 1.075318240517 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_11'], 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : d['c_0101_3'], 'c_1001_12' : negation(d['c_0110_2']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : negation(d['c_1001_0']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0110_11']), 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_11']), 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_1001_0']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_6']), 'c_0101_10' : negation(d['c_0011_9']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0110_2'], 'c_1100_8' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : negation(d['c_0011_9']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0110_2'], 'c_1100_3' : d['c_0110_2'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : negation(d['c_0110_2']), 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : negation(d['c_0110_11']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_4'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_4'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0011_3'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_9']), 'c_0101_8' : negation(d['c_0101_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_6, c_0011_9, c_0101_0, c_0101_3, c_0101_4, c_0110_11, c_0110_2, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 425537693292638133493/14498934983777755*c_1001_0^11 - 1368610649769273135873/14498934983777755*c_1001_0^10 - 1517692388489634077914/14498934983777755*c_1001_0^9 + 14356523747816119775417/14498934983777755*c_1001_0^8 + 351073868486802376172/2899786996755551*c_1001_0^7 - 2799655338828359754317/852878528457515*c_1001_0^6 - 5793446010490295283569/852878528457515*c_1001_0^5 + 80242921181301047674961/2071276426253965*c_1001_0^4 - 900878202642374918565837/14498934983777755*c_1001_0^3 + 718548067138856628172444/14498934983777755*c_1001_0^2 - 299587995016982858046764/14498934983777755*c_1001_0 + 1518950068796341306428/414255285250793, c_0011_0 - 1, c_0011_10 + 18887877873/6791070250013*c_1001_0^11 + 478458750663/6791070250013*c_1001_0^10 + 1849540337321/6791070250013*c_1001_0^9 + 2698747827507/6791070250013*c_1001_0^8 - 10802969759818/6791070250013*c_1001_0^7 - 662210660794/399474720589*c_1001_0^6 + 2184538890792/399474720589*c_1001_0^5 + 15296937259037/970152892859*c_1001_0^4 - 372429247471884/6791070250013*c_1001_0^3 + 414262102310592/6791070250013*c_1001_0^2 - 210983571547620/6791070250013*c_1001_0 + 6391249028756/970152892859, c_0011_11 - 11926992211/6791070250013*c_1001_0^11 - 660528367817/6791070250013*c_1001_0^10 - 2668533423398/6791070250013*c_1001_0^9 - 4459841583912/6791070250013*c_1001_0^8 + 16095751472965/6791070250013*c_1001_0^7 + 1007582739822/399474720589*c_1001_0^6 - 3179566269437/399474720589*c_1001_0^5 - 25512672013234/970152892859*c_1001_0^4 + 602936162871128/6791070250013*c_1001_0^3 - 668191813890532/6791070250013*c_1001_0^2 + 340135143996537/6791070250013*c_1001_0 - 9706917860226/970152892859, c_0011_12 - 5311144463/399474720589*c_1001_0^11 - 40704718746/399474720589*c_1001_0^10 - 106577278618/399474720589*c_1001_0^9 + 58416152961/399474720589*c_1001_0^8 + 787353982491/399474720589*c_1001_0^7 - 74678195201/399474720589*c_1001_0^6 - 3832820592092/399474720589*c_1001_0^5 - 10442708131/57067817227*c_1001_0^4 + 17006143495415/399474720589*c_1001_0^3 - 24617329684789/399474720589*c_1001_0^2 + 13295630350795/399474720589*c_1001_0 - 378370121307/57067817227, c_0011_3 + 1607379344904/6791070250013*c_1001_0^11 + 5163069305756/6791070250013*c_1001_0^10 + 5701035450563/6791070250013*c_1001_0^9 - 54216875153801/6791070250013*c_1001_0^8 - 6074480069355/6791070250013*c_1001_0^7 + 10648610084486/399474720589*c_1001_0^6 + 21756683666066/399474720589*c_1001_0^5 - 304259307985611/970152892859*c_1001_0^4 + 3409374223516351/6791070250013*c_1001_0^3 - 2685175069073395/6791070250013*c_1001_0^2 + 1082261407804335/6791070250013*c_1001_0 - 26279569168162/970152892859, c_0011_6 - 124572421782/6791070250013*c_1001_0^11 - 486403867416/6791070250013*c_1001_0^10 - 560184572316/6791070250013*c_1001_0^9 + 4842412210219/6791070250013*c_1001_0^8 + 6068616407530/6791070250013*c_1001_0^7 - 836754424726/399474720589*c_1001_0^6 - 2761405109245/399474720589*c_1001_0^5 + 20742890569145/970152892859*c_1001_0^4 - 91301624570050/6791070250013*c_1001_0^3 - 38670118304269/6791070250013*c_1001_0^2 + 53728595801521/6791070250013*c_1001_0 - 2490715960077/970152892859, c_0011_9 + 1106017094015/6791070250013*c_1001_0^11 + 3978622250669/6791070250013*c_1001_0^10 + 5500034970062/6791070250013*c_1001_0^9 - 35173644724875/6791070250013*c_1001_0^8 - 18231605119192/6791070250013*c_1001_0^7 + 6738798315038/399474720589*c_1001_0^6 + 17734236518920/399474720589*c_1001_0^5 - 190715584408052/970152892859*c_1001_0^4 + 1839219309874273/6791070250013*c_1001_0^3 - 1253226836267860/6791070250013*c_1001_0^2 + 435630344104654/6791070250013*c_1001_0 - 8911426024492/970152892859, c_0101_0 - 1, c_0101_3 - 1041337527600/6791070250013*c_1001_0^11 - 3766420112025/6791070250013*c_1001_0^10 - 5440060662334/6791070250013*c_1001_0^9 + 32058512046723/6791070250013*c_1001_0^8 + 15586069258365/6791070250013*c_1001_0^7 - 6128672118045/399474720589*c_1001_0^6 - 16251028500723/399474720589*c_1001_0^5 + 177765858666381/970152892859*c_1001_0^4 - 1776233652362129/6791070250013*c_1001_0^3 + 1270956021728394/6791070250013*c_1001_0^2 - 466304678168337/6791070250013*c_1001_0 + 10020239414100/970152892859, c_0101_4 - 124572421782/6791070250013*c_1001_0^11 - 486403867416/6791070250013*c_1001_0^10 - 560184572316/6791070250013*c_1001_0^9 + 4842412210219/6791070250013*c_1001_0^8 + 6068616407530/6791070250013*c_1001_0^7 - 836754424726/399474720589*c_1001_0^6 - 2761405109245/399474720589*c_1001_0^5 + 20742890569145/970152892859*c_1001_0^4 - 91301624570050/6791070250013*c_1001_0^3 - 38670118304269/6791070250013*c_1001_0^2 + 60519666051534/6791070250013*c_1001_0 - 2490715960077/970152892859, c_0110_11 - 3411689843/399474720589*c_1001_0^11 - 33616153920/399474720589*c_1001_0^10 - 97592599866/399474720589*c_1001_0^9 - 11582633589/399474720589*c_1001_0^8 + 711160446968/399474720589*c_1001_0^7 + 94437578696/399474720589*c_1001_0^6 - 3146243424459/399474720589*c_1001_0^5 - 298731086043/57067817227*c_1001_0^4 + 19288203595602/399474720589*c_1001_0^3 - 27034669438758/399474720589*c_1001_0^2 + 15028208894400/399474720589*c_1001_0 - 444154458857/57067817227, c_0110_2 - 11926992211/6791070250013*c_1001_0^11 - 660528367817/6791070250013*c_1001_0^10 - 2668533423398/6791070250013*c_1001_0^9 - 4459841583912/6791070250013*c_1001_0^8 + 16095751472965/6791070250013*c_1001_0^7 + 1007582739822/399474720589*c_1001_0^6 - 3179566269437/399474720589*c_1001_0^5 - 25512672013234/970152892859*c_1001_0^4 + 602936162871128/6791070250013*c_1001_0^3 - 668191813890532/6791070250013*c_1001_0^2 + 333344073746524/6791070250013*c_1001_0 - 9706917860226/970152892859, c_1001_0^12 + 3*c_1001_0^11 + 3*c_1001_0^10 - 34*c_1001_0^9 + 4*c_1001_0^8 + 109*c_1001_0^7 + 204*c_1001_0^6 - 1358*c_1001_0^5 + 2441*c_1001_0^4 - 2288*c_1001_0^3 + 1238*c_1001_0^2 - 371*c_1001_0 + 49 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.370 Total time: 1.580 seconds, Total memory usage: 32.09MB